Infinite Series -
Find the interval of convergence for the following geometric series and, within this interval, find the sum;
=(x-1)^n (x-1)^1 / (2^n * 2^3)
= (x-1)/8 * (x-1/2)^n
Sort of stuck where to go from here. I wasn't sure if A = (x-1)/8 and r= (x-1)/2 and I just use a/(1-r) or what. Any help would be appreciated!
Stacey Warren - Expert brainly.com
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are you trying to find where the 2 of them meet?
Not entirely sure what that means.
The sandwich method? I was using that for Sequences.
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well, ive done intervals of convergence on a single summation; but ive never even considered doing it for 2 at the same time
i assume it wants the interval where they meet at
Again, not sure what you mean by 2 at the same time. If you mean the first two equations, the first is N=2 and then I did N = 0 and added two to N.
If you have another method in mind for solving it I would love to hear it. I think what is getting me is the "X". If it were a 2, instead of X, I could have 1/8 instead of (x-1)/8, which would be my A, and then (x-1)/2 would be my R and I would use a/(1-r)